Over the past 5 years, there has been substantial interest in the use of generalized sample hold functions for control. In this correspondence, we use a tool, which is novel in this context, namely, Amplitude Modulation Theory. We employ this tool to analyze the quantitative and qualitative features of the intersample behavior in a frequency domain setting. This offers new theoretical and practical insights into the method. Our conclusion is that the perceived benefits come at substantial cost which makes its practical use questionable.